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Finding the Fourth Proportional to 369,344.58, 509,680.74 and 208,233.33

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Solution

The fourth proportional to 369,344.58, 509,680.74 and 208,233.33 is: 287,353.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,344.58 : 509,680.74 = 208,233.33 : x
  2. Step 2: Convert to fraction form
    369,344.58/509,680.74 = 208,233.33/x
  3. Step 3: Cross multiply
    369,344.58x = 509,680.74 × 208,233.33
  4. Step 4: Simplify right side
    369,344.58x = 106,132,517,727.06
  5. Step 5: Solve for x
    x = 106,132,517,727.06/369,344.58
  6. Step 6: Final answer
    x = 287,353.66

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.